SOLUTION: solve the following logarithmic equation
ln(x)= 2+ln(x+1)
Algebra.Com
Question 328989: solve the following logarithmic equation
ln(x)= 2+ln(x+1)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ 2\ +\ \ln(x\ +\ 1))
Ah ha! You wrote the problem incorrectly the first time, didn't you?
Put the ln functions on the right:
\ -\ \ln(x\ +\ 1)\ =\ 2)
The difference of the logs is the log of the quotient:
\ =\ 2)
Use the definition of the logarithm function:
 \ \ \Rightarrow\ \ b^y = x)
to write:
Now just solve for 
)
\ =\ e^2)
But
so
and the solution must be excluded because of the domain restrictions of the log function. Solution set is the empty set.
John
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